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Euler chose the letter 'e' to represent his famous constant, approximately equal to 2.718281828459045235, primarily due to its association with the term "exponential." The notation first appeared in a letter to Goldbach in 1731, but it was not until 1748, in his work "Introductio in Analysin infinitorum," that Euler provided a comprehensive treatment of the constant. The discussion emphasizes Euler's modesty and the historical context of naming conventions in mathematics.
PREREQUISITESMathematicians, educators, students of calculus, and anyone interested in the historical context of mathematical notation and constants.
the notation e made its first appearance in a letter Euler wrote to Goldbach in 1731. He made various discoveries regarding e in the following years, but it was not until 1748 when Euler published Introductio in Analysin infinitorum that he gave a full treatment of the ideas surrounding e.
Euler gave an approximation for e to 18 decimal places
e = 2.718281828459045235
Tide said:Euler probably chose e for other reasons. He was a very modest man and not at all egotistical (http://www-history.mcs.st-andrews.ac.uk/HistTopics/e.html).